If the areas of two equilateral triangles are 27 yd² and 75 yd², then the ratio of these areas is 27/75 = 9/25
If the ratios of the areas are 9:25, then their similarity ratio and the ratio of their perimeters is √9:√35 = 3:5.
3 : 5; 3 : 5 <==ANSWER
First, we find the volume of the pool.
3.8*5.5*1.2= 25.08.
Then we convert the feet into gallons.
25.08*7.5 = 188.1
The pool will hold 188.1 gallons of water.
First let's find out how much he can ski per minute without his increase in speed.
To find speed we will have to divide distance by time.
960÷5=232
So his speed is 232 meters per second.
Now to this as add 20.
232+20=252
Then to find out how far he will go in 10 minutes,we will just have to multiply 252 by 10
252×10=2520
So your answer will be that Alex will go 2520 meters in 10 minutes.
Question:
Which statement is true about the discontinuities of the function
A)There are holes at x = 7 and .
B)There are asymptotes at x = 7 and .
C)There are asymptotes at x = –7 and .
D)There are holes at (–7, 0) and .
Answer:
B)There are asymptotes at x = 7 and
Step-by-step explanation:
Given:
Required:
Find the true statement
We'll first factorize the denominator.
Make x subject of the formula in (3x+4) and (x-7):
3x + 4 =
3x = -4
Divide both sides by 3:

x - 7
x = 7
Now check for the limit when
and (x = 7)
lim f(x) when
= ±∞
lim f(x) when (x=7) = ±∞
Sinve they both make the denominator tend to zero, they are asymptotes
Therefore, there are asymptotes at
and x=7
Option B is correct
Answer:
<u>The sum of their ages now is 13</u>
Step-by-step explanation:
Dally's age = x
Dilly's age = x - 7
In 4 years time Dilly will be half Dally’s age, therefore:
Dilly's age plus four equals to half of Dally’s age plus four,
replacing with the values and variables we know:
x - 7 + 4 = (x + 4) /2
x - 3 = (x + 4) /2
2x - 6 = x + 4 (Multiplying by 2 at both sides)
2x - x = 4 + 6 (Like terms)
x = 10 ⇒ x - 7 = 3
<u>The sum of their ages now is 13 (10 + 3)</u>